203 - 高等程式設計 2014 - 第一次考試 Scoreboard

Time

2014/04/09 18:45:00 2014/04/09 22:55:00

Clarification

# Problem Asker Description Reply Replier Reply Time For all team

# Problem Pass Rate (passed user / total user)
1164 Solve It
1165 Andy's First Dictionary
1166 Product
1167 Twin Primes

1164 - Solve It   

Description

Category: Binary Search

Solve the equation:

p × ex + q × sin(x) + r × cos(x) + s × tan(x) + t × x2 + u = 0

where 0 ≤ x ≤ 1.

Input

Input consists of multiple test cases and terminated by an EOF. Each test case consists of 6 integers in a single line: p, q, r, s, t and u (where 0 ≤ p, r ≤ 20 and −20 ≤ q, s, t ≤ 0). There will be maximum 2100 lines in the input file.

Output

For each set of input, there should be a line containing the value of x, correct up to 4 decimal places, or the string "No solution", whichever is applicable.

Remark

You may assume that there is no such case that all the coefficients are 0.

Sample Input  Download

Sample Output  Download

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1165 - Andy's First Dictionary   

Description

Category: Sorting

Andy, 8, has a dream - he wants to produce his very own dictionary. This is not an easy task for him, as the number of words that he knows is, well, not quite enough. Instead of thinking up all the words himself, he has a brilliant idea. From his bookshelf he would pick one of his favorite story books, from which he would copy out all the distinct words. By arranging the words in alphabetical order, he is done! Of course, it is a really time-consuming job, and this is where a computer program is helpful.

You are asked to write a program that lists all the different words in the input text. In this problem, a word is defined as a consecutive sequence of alphabets, in upper and/or lower case. Words with only one letter are also to be considered. Furthermore, your program must be CaSe InSeNsItIvE. For example, words like "Apple", "apple" or "APPLE" must be considered the same.

Input

The input file is a text with no more than 5000 lines. An input line has at most 200 characters. Input is terminated by EOF.

Output

Your output should give a list of different words that appears in the input text, one in a line. The words should all be in lower case, sorted in alphabetical order. You can be sure that the number of distinct words in the text does not exceed 5000.

Remark

The characters '!', '?', ';', '"'(double quotes ), '''(single quotes), ':', '.', and ',' are the only characters other than English alphabet, white spaces, and new line characters that may appear in the judge data prepared for this exam.

The number of total words in the text is less than 60000.

Sample Input  Download

Sample Output  Download

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1166 - Product   

Description

Category: Big Numbers

The problem is to multiply two integers X, Y. (0 ≤ X, Y < 10250)

Input

There are at most 500 testcases. The input will consist of a set of pairs of lines. Each line in pair contains one multiplyer.

Output

For each input pair of lines the output line should consist of one integer the product.

Sample Input  Download

Sample Output  Download

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1167 - Twin Primes   

Description

Category: Prime

Twin primes are pairs of primes of the form (p, p+2). The term "twin prime" was coined by Paul Stäckel (1892-1919). The first few twin primes are (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43). In this problem you are asked to find out the S-th twin prime pair where S is an integer that will be given in the input.

Input

Each line of the input contains an integers S (1 ≤ S ≤ 105), which is the serial number of a twin prime pair. Input file is terminated by end of file.

Output

For each line of input you will have to produce one line of output which contains the S-th twin prime pair. The pair is printed in the form (p1,p2). Here means the space character (ASCII 32). You can safely assume that the primes in the 100000-th twin prime pair are less than 20000000.

Sample Input  Download

Sample Output  Download

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